5128704000 has 832 divisors, whose sum is σ = 22080314880. Its totient is φ = 1150156800.

The previous prime is 5128703999. The next prime is 5128704011. The reversal of 5128704000 is 4078215.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96767974 + ... + 96768026.

It is an arithmetic number, because the mean of its divisors is an integer number (26538840).

Almost surely, 2^5128704000 is an apocalyptic number.

5128704000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5128704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11040157440).

5128704000 is an abundant number, since it is smaller than the sum of its proper divisors (16951610880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5128704000 is an equidigital number, since it uses as much as digits as its factorization.

5128704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5128704000 is about 71614.9705019837. The cubic root of 5128704000 is about 1724.5238761568.

The spelling of 5128704000 in words is "five billion, one hundred twenty-eight million, seven hundred four thousand".